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National and Regional Contests
Czech Republic Contests
Czech and Slovak Olympiad III A
2024 Czech and Slovak Olympiad III A
3
3
Part of
2024 Czech and Slovak Olympiad III A
Problems
(1)
tetraminoes in 20x20 grid
Source: 2024 Czech and Slovak Olympiad III A p3
5/18/2024
Find the largest natural number
n
n
n
such that any set of
n
n
n
tetraminoes, each of which is one of the four shapes in the picture, can be placed without overlapping in a
20
×
20
20 \times 20
20
×
20
table (no tetramino extends beyond the borders of the table), such that each tetramino covers exactly 4 cells of the 20x20 table. An individual tetramino is allowed to turn and flip at will. https://cdn.artofproblemsolving.com/attachments/b/9/0dddb25c2aa07536b711ded8363679e47972d6.png
combinatorics
Tiling
tiles